Path planning for the Platonic solids on prescribed grids by edge-rolling

QR Code

Path planning for the Platonic solids on prescribed grids by edge-rolling

The five Platonic solids-tetrahedron, cube, octahedron, dodecahedron, and icosahedron- have found many applications in mathematics, science, and art. Path planning for the Platonic solids had been suggested, but not validated, except for solving the rollingcube puzzles for a cubic dice. We developed...

Full description

Bibliographic Details
Main Authors:	Lam, Ngoc Tam, Howard, Ian, Cui, Lei
Format:	Journal Article
Language:	English
Published:	PUBLIC LIBRARY SCIENCE 2021
Subjects:	Science & Technology Multidisciplinary Sciences Science & Technology - Other Topics
Online Access:	http://purl.org/au-research/grants/arc/DE170101062 http://hdl.handle.net/20.500.11937/90117

Similar Items

An Australian rental housing conditions research infrastructure
by: Baker, E., et al.
Published: (2022)

Optimal probe length varies for targets with high sequence variation: Implications for probe library design for resequencing highly variable genes
by: Haslam, N.J., et al.
Published: (2008)

Research using population-based administration data integrated with longitudinal data in child protection settings: A systematic review
by: Chikwava, Fadzai, et al.
Published: (2021)

Understanding the impact and causes of 'failure to attend' on continuity of care for patients with chronic conditions
by: Byrne, A.L., et al.
Published: (2021)

Author Correction: Global geochemical fingerprinting of plume intensity suggests coupling with the supercontinent cycle
by: Gamal El Dien, Hamed, et al.
Published: (2020)

Discrete Path Planning for Convex Polyhedra through Edge-Rolling on a Plane
by: Lam, Ngoc Tam
Published: (2022)

LabTrove: A Lightweight, Web Based, Laboratory 'Blog' as a Route towards a Marked Up Record of Work in a Bioscience Research Laboratory
by: Milsted, A.J., et al.
Published: (2013)

COVID-19 vaccination perceptions and intentions of maternity care consumers and providers in Australia
by: Bradfield, Zoe, et al.
Published: (2021)

Experiences of receiving and providing maternity care during the COVID-19 pandemic in Australia: A five-cohort cross-sectional comparison
by: Bradfield, Zoe, et al.
Published: (2021)

The use of telephone communication between nurse navigators and their patients
by: Heritage, B., et al.
Published: (2020)

A literature review on path planning of polyhedrons with rolling contact
by: Lam, N.T., et al.
Published: (2019)

Implementation of cognitive-behavioral substance abuse treatment in Sub-Saharan Africa: Treatment engagement and abstinence at treatment exit
by: Gouse, H., et al.
Published: (2016)

Fecal sample collection methods and time of day impact microbiome composition and short chain fatty acid concentrations
by: Jones, Jacquelyn, et al.
Published: (2021)

Largest recent impact craters on Mars: Orbital imaging and surface seismic co-investigation
by: Posiolova, L.V., et al.
Published: (2022)

Newly-discovered ultra-high temperature granulites from the East Hebei terrane, North China Craton
by: Liu, T., et al.
Published: (2022)

Early Pastoral Economies and Herding Transitions in Eastern Eurasia
by: Taylor, W.T.T., et al.
Published: (2020)

Metal nanoparticles as effective promotors for Maize production
by: Hoang, S.A., et al.
Published: (2019)

Preadolescent children's perception of power imbalance in bullying: A thematic analysis
by: Nelson, Helen, et al.
Published: (2019)

Cygnus X-1 contains a 21-solar mass black hole-Implications for massive star winds
by: Miller-Jones, James, et al.
Published: (2021)

Optimising medication data collection in a large-scale clinical trial
by: Lockery, J.E., et al.
Published: (2019)

Hierarchical clustering of MS/MS spectra from the firefly metabolome identifies new lucibufagin compounds
by: Rawlinson, Catherine, et al.
Published: (2020)

Covalent attachment of proteins to solid supports and surfaces via sortase-mediated ligation
by: Chan, L., et al.
Published: (2007)

Acoustic Property Reconstruction of a Neonate Yangtze Finless Porpoise's (Neophocaena asiaeorientalis) Head Based on CT Imaging
by: Wei, Chong, et al.
Published: (2015)

What matters most to patients following percutaneous coronary interventions? A new patient-reported outcome measure developed using Rasch analysis
by: Soh, S.E., et al.
Published: (2019)

Associations of autozygosity with a broad range of human phenotypes
by: Clark, D.W., et al.
Published: (2019)

Self-Recovery Chemistry and Cobalt-Catalyzed Electrochemical Deposition of Cathode for Boosting Performance of Aqueous Zinc-Ion Batteries
by: Zhong, Yijun, et al.
Published: (2020)

A global, empirical, harmonised dataset of soil organic carbon changes under perennial crops
by: Ledo, A., et al.
Published: (2019)

Orbital forcing of ice sheets during snowball Earth
by: Mitchell, Ross, et al.
Published: (2021)

The Tharsis mantle source of depleted shergottites revealed by 90 million impact craters
by: Lagain, Anthony, et al.
Published: (2021)

A randomised pilot equivalence trial to evaluate diamagnetically enhanced transdermal delivery of key ground substance components in comparison to an established transdermal non-steroidal anti-inflammatory formulation in males with prior knee injury
by: Vicenzino, B., et al.
Published: (2019)

Hot probe measurements on neutron irradiated, isotope enriched ZnO nanorods
by: Ironside, Charlie, et al.
Published: (2019)

Collective patterns of social diffusion are shaped by individual inertia and trend-seeking
by: Ye, Mengbin, et al.
Published: (2021)

Bayesian analysis of meta-analytic models incorporating dependency: new approaches for the hierarchical Bayesian delta-splitting model
by: Junaidi, et al.
Published: (2020)

The corona of a surface bubble promotes electrochemical reactions
by: Vogel, Yan, et al.
Published: (2020)

Otherness of place: Game-based interaction and learning in virtual heritage projects
by: Champion, Erik
Published: (2008)

Rapid range shifts and megafaunal extinctions associated with late Pleistocene climate change
by: Seersholm, Frederik, et al.
Published: (2020)

Impact and habitability scenarios for early Mars revisited based on a 4.45-Ga shocked zircon in regolith breccia
by: Cox, Morgan, et al.
Published: (2022)

Large impact cratering during lunar magma ocean solidification
by: Miljkovic, Katarina, et al.
Published: (2021)

Tip dependence of three-dimensional scanning force microscopy images of calcite-water interfaces investigated by simulation and experiments
by: Miyazawa, K., et al.
Published: (2020)

Vortex fluidic mediated transformation of graphite into highly conducting graphene scrolls
by: Vimalanathan, K., et al.
Published: (2019)